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23129625440 = 255144560159
BaseRepresentation
bin10101100010101000…
…100001001101100000
32012200221110201021002
4111202220201031200
5334332141003230
614343044051132
71446113400215
oct254250411540
965627421232
1023129625440
11989a085a29
124596093aa8
132247ba62cc
141195bd1b0c
159058b7545
hex562a21360

23129625440 has 24 divisors (see below), whose sum is σ = 54643740480. Its totient is φ = 9251850112.

The previous prime is 23129625403. The next prime is 23129625479. The reversal of 23129625440 is 4452692132.

It is a junction number, because it is equal to n+sod(n) for n = 23129625394 and 23129625403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72279920 + ... + 72280239.

It is an arithmetic number, because the mean of its divisors is an integer number (2276822520).

Almost surely, 223129625440 is an apocalyptic number.

23129625440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23129625440 is an abundant number, since it is smaller than the sum of its proper divisors (31514115040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23129625440 is a wasteful number, since it uses less digits than its factorization.

23129625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144560174 (or 144560166 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 23129625440 in words is "twenty-three billion, one hundred twenty-nine million, six hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 144560159 289120318 578240636 722800795 1156481272 1445601590 2312962544 2891203180 4625925088 5782406360 11564812720 23129625440